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Sib. Zh. Ind. Mat., 2005, Volume 8, Number 1, Pages 70–87 (Mi sjim320)  

This article is cited in 3 scientific papers (total in 3 papers)

Cracks in piezoelectric and electroconductive bodies

A. A. Kulikova, S. A. Nazarovb

a Saint-Petersburg State University
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences

Abstract: Singularities are studied of the elastic and electric fields near a tip of a crack on the interface of two piezoelectric bodies. An analog of the Griffith formula is obtained for the increment of the potential energy of deformation due to development of a rectilinear crack. The external electrical forces result in the decrease of the energy release rate which explains an experimentally-known possibility of controlling the fracture process by some additional electric fields.

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English version:
Journal of Applied and Industrial Mathematics, 2007, 1:2, 201–216

Bibliographic databases:

UDC: 539.375
Received: 22.09.2004

Citation: A. A. Kulikov, S. A. Nazarov, “Cracks in piezoelectric and electroconductive bodies”, Sib. Zh. Ind. Mat., 8:1 (2005), 70–87; J. Appl. Industr. Math., 1:2 (2007), 201–216

Citation in format AMSBIB
\Bibitem{KulNaz05}
\by A.~A.~Kulikov, S.~A.~Nazarov
\paper Cracks in piezoelectric and electroconductive bodies
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 1
\pages 70--87
\mathnet{http://mi.mathnet.ru/sjim320}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2221671}
\elib{http://elibrary.ru/item.asp?id=13545342}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 2
\pages 201--216
\crossref{https://doi.org/10.1134/S1990478907020111}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. A. Nazarov, M. Specovius-Neugebauer, “Singularities at the tip of a crack on the interface of piezoelectric bodies”, J. Math. Sci. (N. Y.), 159:4 (2009), 524–540  mathnet  crossref  zmath  elib  elib
    2. Mueller R., Gross D., Rangelov T., Dineva P., “Dynamic fracture of piezoelectric solids with defects”, 11th International Conference on the Mechanical Behavior of Materials (ICM11), Procedia Engineering, 10, 2011  crossref  isi  scopus
    3. Pasternak I.M., Sulym H.T., Pasternak R.M., “Studies on Stress State of Solids Made of Functional Structurally Inhomogeneous Materials: a Review of Publications Till 2010”, Opir Materialiv Teor. Sporud, 2015, no. 95, 35–80  isi
  • Сибирский журнал индустриальной математики
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